This project aimed to look at the spatial variability of color morph and Symbiodinium clades C and D present in the Kane’ohe Bay, O’ahu, Hawai’i population of Montipora capitata. We investigated the distributions at scales ranging from location within the bay to location on an individual reef. We also looked at differences among reef types (fringing vs. patch) and depths. Heterogeneous mixtures of symbiont clades were considered in the analysis for spatial patterns. By investigating spatial variability of Symbiodinium, we furthered the understanding of potential stress-response in Kane’ohe Bay.
knitr::opts_knit$set(root.dir = normalizePath(".."))
library(data.table)
library(lsmeans)
library(devtools)
library(plyr)
library(reshape2)
library(popbio)
library(RgoogleMaps)
library(plotrix)
library(zoo)
library(rgdal)
library(car)
library(scales)
library(png)
library(pixmap)
library(ecodist)
library(cluster)
library(fpc)
library(clustsig)
library(mapplots)
library(foreign)
library(nnet)
library(ggplot2)
library(mlogit)
Coral_Data <- read.csv("Data/Collection Data/Coral_Collection.csv")
Coral_Data$Depth..m. <- as.numeric(as.character(Coral_Data$Depth..m.))
source_url("https://raw.githubusercontent.com/jrcunning/steponeR/master/steponeR.R")
Mcap.plates <- list.files(path = "Data/qPCR_data", pattern = "txt$", full.names = T)
Mcap <- steponeR(files = Mcap.plates, delim="\t",
target.ratios=c("C.D"),
fluor.norm = list(C=2.26827, D=0),
copy.number=list(C=33, D=3))
Mcap <- Mcap$result
# Remove positive and negative controls from qPCR data
Mcap <- Mcap[grep("+", Mcap$Sample.Name, fixed=T, invert = T), ]
Mcap <- Mcap[grep("NTC", Mcap$Sample.Name, fixed = T, invert = T), ]
Mcap <- Mcap[grep("PCT", Mcap$Sample.Name, fixed = T, invert = T), ]
# Change "Sample.Name" column to "Colony"
colnames(Mcap)[which(colnames(Mcap)=="Sample.Name")] <- "Colony"
# Filter out detections without two technical replicates
Mcap$fail <- ifelse(Mcap$C.reps < 2 & Mcap$D.reps < 2, TRUE, FALSE)
fails <- Mcap[Mcap$fail==TRUE, ]
Mcap <- Mcap[which(Mcap$fail==FALSE),]
# Set C:D ratio to -Inf (when only D) and Inf (when only C)
Mcap$C.D[which(Mcap$C.reps<2)] <- -Inf
Mcap$C.D[which(Mcap$D.reps<2)] <- Inf
# Order qPCR data by Colony
Mcap <- Mcap[with(Mcap, order(Colony)), ]
# Calculate Proportion C and Proportion D
Mcap$propC <- Mcap$C.D / (Mcap$C.D+1)
Mcap$propD <- 1-Mcap$propC
Mcap$propD[which(Mcap$C.D==-Inf)] <-1
Mcap$propC[which(Mcap$C.D==-Inf)] <-0
Mcap$propD[which(Mcap$C.D==Inf)] <-0
Mcap$propC[which(Mcap$C.D==Inf)] <-1
# Categorize each sample as C-dominated or D-dominated
Mcap$Dom <- ifelse(Mcap$propC>Mcap$propD, "C", "D")
Symcap<-merge(Coral_Data, Mcap, by="Colony", all=T)
Symcap <- Symcap[with(Symcap, order(Colony)), ]
# Define category for symbiont mixture
Symcap$Mix <- factor(ifelse(Symcap$propC>Symcap$propD, ifelse(Symcap$propD!=0, "CD", "C"), ifelse(Symcap$propD>Symcap$propC, ifelse(Symcap$propC!=0, "DC", "D"), NA)), levels = c("C", "CD", "DC", "D"))
colscores <- read.csv("Data/Collection Data/Color_Scores.csv")
# Determine color scores by majority rule, and number of agreements
colscores$majority <- apply(colscores[,-1], 1, function(x) names(table(x))[which.max(table(x))])
colscores$n.agree <- apply(colscores[,-c(1,7)], 1, function(x) max(table(x)))
# Set which set of color scores will be used in analysis (=majority)
Symcap <- merge(Symcap, colscores[,c("Colony","majority","n.agree")], all=T)
Symcap$Color.Morph <- factor(Symcap$majority)
Symcap$Bay.Area[which(Symcap$Reef.ID=="26")] <- "Central"
Symcap$Bay.Area[which(Symcap$Reef.ID=="18")] <- "Southern"
Symcap$Bay.Area[which(Symcap$Reef.ID=="F7-18")] <- "Southern"
To account for the influence of tides, depth was adjusted according to the differences in mean sea level from the recorded sea level on each collection day to the nearest 6-minute interval. Mean sea level was obtained from NOAA daily tide tables for Moku o Lo’e.
JuneTide=read.csv("Tide Tables/Station_1612480_tide_ht_20160601-20160630.csv")
JulyTide=read.csv("Tide Tables/Station_1612480_tide_ht_20160701-20160731.csv")
AugustTide=read.csv("Tide Tables/Station_1612480_tide_ht_20160801-20160812.csv")
Tide<-rbind(JuneTide, JulyTide, AugustTide)
Tide$Time <- as.POSIXct(Tide$TimeUTC, format="%Y-%m-%d %H:%M:%S", tz="UTC")
attributes(Tide$Time)$tzone <- "Pacific/Honolulu"
Symcap$Time2 <- as.POSIXct(paste(as.character(Symcap$Date), as.character(Symcap$Time)),
format="%m/%d/%y %H:%M", tz="Pacific/Honolulu")
Symcap$Time=Symcap$Time2
# Add estimated times for missing values
Symcap$Time[170] <- as.POSIXct("2016-06-14 12:07:00")
Symcap$Time[177] <- as.POSIXct("2016-06-14 12:20:00")
Symcap$Time[178] <- as.POSIXct("2016-06-14 12:22:00")
Symcap$Time[180] <- as.POSIXct("2016-06-14 13:08:00")
Symcap$Time[187] <- as.POSIXct("2016-06-14 12:42:00")
Symcap$Time[188] <- as.POSIXct("2016-06-14 12:44:00")
Symcap$Time[206] <- as.POSIXct("2016-06-16 13:10:00")
Symcap$Time[208] <- as.POSIXct("2016-06-16 13:24:00")
Symcap$Time[211] <- as.POSIXct("2016-06-16 12:37:00")
Symcap$Time[218] <- as.POSIXct("2016-06-16 12:27:00")
Symcap$Time[448] <- as.POSIXct("2016-07-16 13:32:00")
Round6 <- function (times) {
x <- as.POSIXlt(times)
mins <- x$min
mult <- mins %/% 6
remain <- mins %% 6
if(remain > 3L) {
mult <- mult + 1
} else {
x$min <- 6 * mult
}
x <- as.POSIXct(x)
x
}
Symcap$Time.r <- Round6(Symcap$Time)
Tide$Time.r <- Tide$Time
merged<-merge(Symcap, Tide, by="Time.r", all.x=T)
merged$newDepth <- merged$Depth..m.- merged$TideHT
Collection sites represented on this map indicate the 9 fringe and 16 patch reef sites for a total of 25 collection reefs. In total, 707 colonies were collected for the analysis.
# Define map area and get satellite data from Google using RgoogleMaps
KB <- c(21.46087401, -157.809907)
KBMap <- GetMap(center = KB, zoom = 13, maptype = "satellite", SCALE = 2, GRAYSCALE = FALSE)
save(KBMap, file = "KBMap.Rdata")
load("KBMap.Rdata")
# Get representative coordinates for each reef based on sample GPS data
Latitude=aggregate(Latitude~Reef.ID, data=Symcap, FUN = mean)
Longitude=aggregate(Longitude~Reef.ID, data = Symcap, FUN=mean)
XY<-merge(Latitude, Longitude, by="Reef.ID", all=T)
newcoords <- LatLon2XY.centered(KBMap, XY$Latitude, XY$Longitude, zoom=13)
XY$X <- newcoords$newX
XY$Y <- newcoords$newY
# Remove mislabeled reef causing duplicate colony ID's
XY <- subset(XY, Reef.ID!="37")
# Plot KBay Map
par(oma=c(3,3,0,0))
PlotOnStaticMap(KBMap, XY$Latitude, XY$Longitude, col=153, pch=21, bg="#FF7F50", lwd=2, cex = 1.2)
axis(1, at = LatLon2XY.centered(KBMap, NA, c(-157.85, -157.81, -157.77))$newX, tcl=0.5, line = 0.5, col = "ghostwhite", col.ticks = "black", lwd = 1, outer = TRUE, labels = c("157.85°W", "157.81°W", "157.77°W"), padj = -2.5, cex.axis = 0.75)
axis(2, at = LatLon2XY.centered(KBMap, c(21.42, 21.46, 21.50), NA)$newY, tcl=0.5, line = 0.5, col = "ghostwhite", col.ticks = "black", lwd = 1, outer = TRUE, labels = c("21.42°N", "21.46°N", "21.50°N"), padj = 0.5, hadj = 0.60, las = 1, cex.axis = 0.75)
par(new=T, mar=c(14,21,0,0))
HI <- readOGR("coast_n83.shp", "coast_n83")
HI <- spTransform(HI, CRS("+proj=longlat +datum=NAD83"))
plot(HI, xlim=c(-158.3, -157.6), ylim=c(21.35, 21.6), lwd=0.4, col="gray", bg="white")
rect(-157.87, 21.41, -157.75, 21.52)
box()
table(Symcap$Dom)
##
## C D
## 434 273
table(Symcap$Mix)
##
## C CD DC D
## 376 58 264 9
results=table(Symcap$Mix, Symcap$Dom)
chisq.test(results)
##
## Pearson's Chi-squared test
##
## data: results
## X-squared = 707, df = 3, p-value < 2.2e-16
prop.table(results, margin = 2)
##
## C D
## C 0.86635945 0.00000000
## CD 0.13364055 0.00000000
## DC 0.00000000 0.96703297
## D 0.00000000 0.03296703
par(mar=c(4, 4, 2, 6))
barplot(prop.table(results, margin = 2), col = c(alpha("blue", 0.75), alpha("blue", 0.25), alpha("red", 0.25), alpha("red", 0.75)), xlab = "Dominant Symbiont", ylab = "Proportion of Colonies")
legend("topright", legend=c("C", "CD", "DC", "D"), fill=c(alpha("blue", 0.75), alpha("blue", 0.25), alpha("red", 0.25), alpha("red", 0.75)), inset = c(-.2, 0), xpd = NA)
When looking at D-only colonies, the Ct values are on the higher end of the spectrum (35 or greater) indicating poor amplification and the potential for C amplification being pushed back in the cycle. This is supported by the fact that 5 of the 9 D-only colonies had C present in 1 qPCR replicate.
table(Symcap$Color.Morph)
##
## Brown Orange
## 340 367
results=table(Symcap$Dom, Symcap$Color.Morph)
results
##
## Brown Orange
## C 314 119
## D 26 247
mosaicplot(results, xlab = "Dominant Symbiont", ylab = "Color Morph", main = "")
chisq.test(results)
##
## Pearson's Chi-squared test with Yates' continuity correction
##
## data: results
## X-squared = 263.61, df = 1, p-value < 2.2e-16
prop.table(results, margin = 2)
##
## Brown Orange
## C 0.92352941 0.32513661
## D 0.07647059 0.67486339
par(mar=c(4, 4, 2, 6))
barplot(prop.table(results, margin = 2), col = c("gray10", "gray100"), xlab = "Color Morph", ylab = "Symbiont Proportion")
legend("topright", legend=c("C", "D"), fill=c("gray10", "gray100"), inset = c(-.2, 0), xpd = NA)
results=table(Symcap$Mix, Symcap$Color.Morph)
chisq.test(results)
##
## Pearson's Chi-squared test
##
## data: results
## X-squared = 266.44, df = 3, p-value < 2.2e-16
prop.table(results, margin = 2)
##
## Brown Orange
## C 0.794117647 0.286885246
## CD 0.129411765 0.038251366
## DC 0.073529412 0.653005464
## D 0.002941176 0.021857923
par(mar=c(4, 4, 2, 6))
barplot(prop.table(results, margin = 2), col = c("gray10", "gray50", "gray85", "gray100"), xlab = "Color Morph", ylab = "Symbiont Community Composition")
legend("topright", legend=c("C", "CD", "DC", "D"), fill=c("gray10", "gray50", "gray85", "gray100"), inset = c(-.2, 0), xpd = NA)
propD <- merged$propD[which(merged$propD > 0 & merged$propD < 1)]
hist(propD, xlab = "Proportion of Clade D", ylab = "Number of Samples", main = "", col = "gray75")
propD <- merged$propD[which(merged$propD > 0 & merged$propD < 1)]
propDHist <- subset(merged, propD > 0 & propD < 1)
propDHist$propD <- cut(propDHist$propD, breaks = 5)
DCol=table(propDHist$Color.Morph, propDHist$propD)
z <- with(subset(merged, propD==0), table(Color.Morph))
o <- with(subset(merged, propD==1), table(Color.Morph))
DCol <- cbind(z, DCol, o)
par(mar=c(4, 4, 2, 0))
bars <- barplot(DCol, xlab = "Clade D Proportion", ylab = "Number of Samples", main = "", col = c(alpha("sienna", 0.55), alpha("orange", 0.55)), axisnames = FALSE, space = c(0,0.3,0,0,0,0,0.3))
axis(side = 1, at = c(1.3, 2.3, 3.3, 4.3, 5.3, 6.3), labels = c(">0%", "20%", "40%", "60%", "80%", "<100%"))
axis(side = 1, at = c(0.5, 7.2), labels = c("All C", "All D"), tick = FALSE)
merged$Dominant <- ifelse(merged$Dom=="C", 0, 1)
Dom1 <- subset(merged, !is.na(newDepth) & !is.na(Dominant))
results=glm(Dominant~newDepth, family = "binomial", data = merged)
anova(results, test = "Chisq")
## Analysis of Deviance Table
##
## Model: binomial, link: logit
##
## Response: Dominant
##
## Terms added sequentially (first to last)
##
##
## Df Deviance Resid. Df Resid. Dev Pr(>Chi)
## NULL 705 942.15
## newDepth 1 129.01 704 813.13 < 2.2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
merged$DepthInt <- cut(merged$newDepth, breaks = 0:13)
merged$Dominant2 <- ifelse(merged$Dom=="C", 1, 0)
results=table(merged$Dominant2, merged$DepthInt)
props <- prop.table(results, margin = 2)
par(mar=c(4, 4, 2, 6), lwd = 0.25)
barplot(props[,1:11], col = c(alpha("red", 0.25), alpha("blue", 0.25)),
xlab = "", ylab = "",
space = 0, xaxs="i", yaxs="i", axisnames = FALSE)
par(lwd=1)
legend("topright", legend=c("C", "D"), fill=c(alpha("blue", 0.25), alpha("red", 0.25)), inset = c(-.2, 0), xpd = NA)
par(new = T)
par(mar=c(4.2, 4, 2, 6))
results=glm(Dominant~newDepth, family = "binomial", data = merged)
fitted <- predict(results, newdata = list(newDepth=seq(0,11,0.01)), type = "response")
plot(fitted~seq(0,11,0.01), xaxs="i", yaxs="i", xlim=c(0,11), ylim=c(0,1), type="l", lwd = 3, xlab="Depth (m)", ylab="Probability of D-Dominance")
# Depth at which probability of C vs. D dominance is 50/50
seq(0,11,0.01)[which.min(abs(fitted-0.5))]
## [1] 1.31
Bars indicate relative frequency of occurence of clade C vs. D dominance at 1m depth intervals when pooling all samples collected. Overlaid line indicates probability of a colony being D-dominated across depths.
merged$Color <- ifelse(merged$Color.Morph=="Orange", 0, 1)
results=glm(Color~newDepth, family = "binomial", data = merged)
anova(results, test = "Chisq")
## Analysis of Deviance Table
##
## Model: binomial, link: logit
##
## Response: Color
##
## Terms added sequentially (first to last)
##
##
## Df Deviance Resid. Df Resid. Dev Pr(>Chi)
## NULL 706 979.08
## newDepth 1 47.199 705 931.88 6.413e-12 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Color <- subset(merged, !is.na(newDepth) & !is.na(Color))
results=table(merged$Color, merged$DepthInt)
props <- prop.table(results, margin = 2)
par(mar=c(4, 4, 2, 6), lwd = 0.25)
barplot(props[,1:11], col = c(alpha("orange", 0.25), alpha("sienna", 0.25)),
xlab = "", ylab = "",
space = 0, xaxs="i", yaxs="i", axisnames = FALSE)
par(lwd=1)
legend("topright", legend=c("Brown", "Orange"), fill=c(alpha("sienna", 0.25), alpha("orange", 0.25)), inset = c(-.22, 0), xpd = NA)
par(new = T)
par(mar=c(4.2, 4, 2, 6))
merged$Color2 <- ifelse(merged$Color=="0", 1, 0)
results=glm(Color2~newDepth, family = "binomial", data = merged)
fitted <- predict(results, newdata = list(newDepth=seq(0,11,0.01)), type = "response")
plot(fitted~seq(0,11,0.01), xaxs="i", yaxs="i", xlim=c(0,11), ylim=c(0,1), type="l", lwd = 3, xlab="Depth (m)", ylab="Probability of Orange-Dominance")
# Depth at which probability of orange or brown is 50/50
seq(0,11,0.01)[which.min(abs(fitted-0.5))]
## [1] 2.93
Bars indicate relative frequency of brown vs. orange color morph dominance at 1m depth intervals when pooling all samples collected. The overlaid line indicates the probablity of a colony to be orange across depths.
While brown colonies were always more likely C-dominated, orange colonies were observed to switch from D to C dominance. The depth threshold where this switch occurred is represented here.
# Probability of C vs. D dominance in Orange and Brown colonies across Depth
# Orange colonies
df <- subset(merged, Color.Morph=="Orange")
results=glm(Dominant~newDepth, family = "binomial", data = df)
newdata <- list(newDepth=seq(0,11,0.01))
par(mar=c(4, 4, 2, 6))
fitted <- predict(results, newdata = newdata, type = "response")
plot(fitted ~ seq(0,11,0.01), ylim = c(0,1), type="l", col="orange", lwd=3, xlab="", ylab="", axisnames=FALSE)
abline(h = 0.5, lty=2)
# Point at which probability of C or D dominance is 50/50
seq(0,11,0.01)[which.min(abs(fitted-0.5))]
## [1] 3.63
# Probability of D-dominance at 1m
fitted[seq(0,11,0.01)==1]
## 101
## 0.7974802
# Probability of D-dominance at 10m
fitted[seq(0,11,0.01)==11]
## 1101
## 0.02101448
# Brown colonies
df <- subset(merged, Color.Morph=="Brown")
results=glm(Dominant~newDepth, family = "binomial", data = df)
newdata <- list(newDepth=seq(0,11,0.01))
fitted <- predict(results, newdata = newdata, type = "response")
lines(fitted~seq(0,11,0.01), col="sienna", lwd=3)
mtext(side = 1, text = "Depth (m)", line = 3, cex = 1)
mtext(side = 2, text = "Probability of Clade D Symbiont", line = 3, cex = 1)
legend("topright", legend=c("Brown", "Orange"), fill=c("sienna", "orange"), inset = c(-.22, 0), xpd = NA)
# Probability of D-dominance at 1m
fitted[seq(0,11,0.01)==1]
## 101
## 0.1164459
# Probability of D-dominance at 10m
fitted[seq(0,11,0.01)==10]
## 1001
## 0.0100584
par(mfrow=c(3,1))
merged$DepthInt <- cut(merged$newDepth, breaks = 0:13)
merged$Dominant <- ifelse(merged$Dom=="C", 0, 1)
merged$Dominant2 <- ifelse(merged$Dom=="C", 1, 0)
results=table(merged$Dominant2, merged$DepthInt)
results
props <- prop.table(results, margin = 2)
par(mar=c(2, 4, 2, 6), lwd = 0.25)
barplot(props[,1:11], col = c(alpha("red", 0.25), alpha("blue", 0.25)),
xlab = "", ylab = "",
space = 0, xaxs="i", yaxs="i", axisnames = FALSE)
par(lwd=1)
legend("topright", legend=c("C", "D"), fill=c(alpha("blue", 0.25), alpha("red", 0.25)), inset = c(0, 0), xpd = NA)
par(new = T)
par(mar=c(2.1, 4, 2, 6))
results=glm(Dominant~newDepth, family = "binomial", data = merged)
fitted <- predict(results, newdata = list(newDepth=seq(0,11,0.1)), type = "response")
plot(fitted~seq(0,11,0.1), xaxs="i", yaxs="i", xlim=c(0,11), ylim=c(0,1), type="l", lwd = 3, xlab="", ylab="Probability of D-Dominance")
merged$Color <- ifelse(merged$Color.Morph=="Orange", 0, 1)
results=table(merged$Color, merged$DepthInt)
results
props <- prop.table(results, margin = 2)
par(mar=c(3, 4, 1, 6), lwd = 0.25)
barplot(props[,1:11], col = c(alpha("orange", 0.25), alpha("sienna", 0.25)),
xlab = "", ylab = "Probability of Orange-Dominance",
space = 0, xaxs="i", yaxs="i", axisnames = FALSE)
par(lwd=1)
legend("topright", legend=c("Brown", "Orange"), fill=c(alpha("sienna", 0.25), alpha("orange", 0.25)), inset = c(0, 0), xpd = NA)
par(new = T)
par(mar=c(3.1, 4, 1, 6))
merged$Color2 <- ifelse(merged$Color=="0", 1, 0)
results=glm(Color2~newDepth, family = "binomial", data = merged)
fitted <- predict(results, newdata = list(newDepth=seq(0,11,0.1)), type = "response")
plot(fitted~seq(0,11,0.1), xaxs="i", yaxs="i", xlim=c(0,11), ylim=c(0,1), type="l", lwd = 3, xlab="", ylab="")
df <- subset(merged, Color.Morph=="Orange")
results=glm(Dominant~newDepth, family = "binomial", data = df)
newdata <- list(newDepth=seq(0,11,0.01))
par(mar=c(4, 4, 0, 6))
fitted <- predict(results, newdata = newdata, type = "response")
plot(fitted ~ seq(0,11,0.01), ylim = c(0,1), type="l", col="orange", lwd=3, xlab="Depth (m)", ylab="Probabilty of D-Dominance", axisnames=FALSE, xaxs = "i", yaxs = "i")
abline(h = 0.5, lty=2)
df <- subset(merged, Color.Morph=="Brown")
results=glm(Dominant~newDepth, family = "binomial", data = df)
newdata <- list(newDepth=seq(0,11,0.01))
fitted <- predict(results, newdata = newdata, type = "response")
lines(fitted~seq(0, 11, 0.01), col="sienna", lwd=3)
legend("topright", legend=c("Brown", "Orange"), fill=c("sienna", "orange"), inset = c(0, 0), xpd = NA)
merged$Dominant <- ifelse(merged$Dom=="C", 0, 1)
dat <- aggregate(data.frame(prop=merged$Dominant), by=list(Reef.ID=merged$Reef.ID),
FUN=mean, na.rm=T) #prop D/reef
mod <- glm(Dominant ~ newDepth + Reef.ID, data=merged)
mod2 <- glm(Dominant ~ newDepth * Reef.ID, data=merged)
library(lsmeans)
lsm <- lsmeans(mod, specs="Reef.ID")
lsm2 <- lsmeans(mod2, specs="Reef.ID")
## NOTE: Results may be misleading due to involvement in interactions
res <- merge(dat, data.frame(summary(lsm))[,c(1:2)], by="Reef.ID")
res <- merge(res, data.frame(summary(lsm2))[,c(1:2)], by="Reef.ID")
colnames(res) <- c("Reef.ID", "raw.c", "c.adj", "c.adj.int")
XY2 <- merge(XY, res, by = "Reef.ID")
XY2$d.adj <- 1-XY2$c.adj
XY2$d.adj.int <- 1-XY2$c.adj.int
XY2$raw.d <- 1-XY2$raw.c
manteltable = table(merged$Dom, merged$Color.Morph, merged$Reef.ID)
nc <- aggregate(interaction(merged$Color.Morph, merged$Dom),
by=list(merged$Reef.ID), FUN=table)
nc <- data.frame(Reef.ID=as.character(nc[,1]), prop.table(nc[,2], margin=1))
XY3 <- merge(XY2, nc, by="Reef.ID", all=T)
merged$ColDom <- interaction(merged$Color.Morph, merged$Dom)
model <- multinom(ColDom~newDepth+Reef.ID, na.omit(merged))
## # weights: 108 (78 variable)
## initial value 418.660897
## iter 10 value 206.682345
## iter 20 value 199.368101
## iter 30 value 198.356931
## iter 40 value 198.340206
## iter 50 value 198.339390
## iter 50 value 198.339389
## iter 50 value 198.339389
## final value 198.339389
## converged
means <- lsmeans(model, specs = "Reef.ID")
means
## Reef.ID prob SE df lower.CL upper.CL
## 10 0.25 NaN 78 NaN NaN
## 13 0.25 2.328306e-10 78 0.25 0.25
## 14 0.25 NaN 78 NaN NaN
## 18 0.25 1.646361e-10 78 0.25 0.25
## 19 0.25 2.328306e-10 78 0.25 0.25
## 20 0.25 2.603126e-10 78 0.25 0.25
## 21 0.25 NaN 78 NaN NaN
## 25 0.25 NaN 78 NaN NaN
## 26 0.25 3.080060e-10 78 0.25 0.25
## 30 0.25 NaN 78 NaN NaN
## 38 0.25 3.292723e-10 78 0.25 0.25
## 42 0.25 3.292723e-10 78 0.25 0.25
## 46 0.25 4.656613e-10 78 0.25 0.25
## 5 0.25 2.328306e-10 78 0.25 0.25
## Deep 0.25 3.292723e-10 78 0.25 0.25
## F1-46 0.25 9.313226e-10 78 0.25 0.25
## F2-25 0.25 3.292723e-10 78 0.25 0.25
## F3-18 0.25 2.302422e-14 78 0.25 0.25
## F4-34 0.25 NaN 78 NaN NaN
## F5-34 0.25 4.440892e-16 78 0.25 0.25
## F6-Lilipuna 0.25 NaN 78 NaN NaN
## F7-18 0.25 NaN 78 NaN NaN
## F8-10 0.25 1.232024e-09 78 0.25 0.25
## F9-5 0.25 2.328306e-10 78 0.25 0.25
## HIMB 0.25 NaN 78 NaN NaN
##
## Results are averaged over the levels of: ColDom
## Confidence level used: 0.95
merged$Dominant <- ifelse(merged$Dom=="C", 0, 1)
dat <- aggregate(data.frame(prop=merged$Dominant), by=list(Reef.ID=merged$Reef.ID), FUN=mean, na.rm=T) #prop D/reef
mod <- glm(Dominant ~ newDepth + Reef.ID, data=merged)
mod2 <- glm(Dominant ~ newDepth * Reef.ID, data=merged)
library(lsmeans)
lsm <- lsmeans(mod, specs="Reef.ID")
lsm2 <- lsmeans(mod2, specs="Reef.ID")
res <- merge(dat, data.frame(summary(lsm))[,c(1:2)], by="Reef.ID")
res <- merge(res, data.frame(summary(lsm2))[,c(1:2)], by="Reef.ID")
colnames(res) <- c("Reef.ID", "raw.c", "c.adj", "c.adj.int")
XY2 <- merge(XY, res, by = "Reef.ID")
XY2$d.adj <- 1-XY2$c.adj
XY2$d.adj.int <- 1-XY2$c.adj.int
XY2$raw.d <- 1-XY2$raw.c
A multinomial logistic regression was performed on the interaction of color morph and dominant symbiont to discount the influence of depth on spatial distribution.
merged$Dominant <- ifelse(merged$Dom=="C", 0, 1)
dat <- aggregate(data.frame(prop=merged$Dominant), by=list(Reef.ID=merged$Reef.ID),
FUN=mean, na.rm=T) #prop D/reef
mod <- glm(Dominant ~ newDepth + Reef.ID, data=merged)
mod2 <- glm(Dominant ~ newDepth * Reef.ID, data=merged)
library(lsmeans)
lsm <- lsmeans(mod, specs="Reef.ID")
lsm2 <- lsmeans(mod2, specs="Reef.ID")
res <- merge(dat, data.frame(summary(lsm))[,c(1:2)], by="Reef.ID")
res <- merge(res, data.frame(summary(lsm2))[,c(1:2)], by="Reef.ID")
colnames(res) <- c("Reef.ID", "raw.c", "c.adj", "c.adj.int")
XY2 <- merge(XY, res, by = "Reef.ID")
XY2$d.adj <- 1-XY2$c.adj
XY2$d.adj.int <- 1-XY2$c.adj.int
XY2$raw.d <- 1-XY2$raw.c
manteltable = table(merged$Dom, merged$Color.Morph, merged$Reef.ID)
nc <- aggregate(interaction(merged$Color.Morph, merged$Dom),
by=list(merged$Reef.ID), FUN=table)
nc <- data.frame(Reef.ID=as.character(nc[,1]), prop.table(nc[,2], margin=1))
XY3 <- merge(XY2, nc, by="Reef.ID", all=T)
merged$ColDom <- interaction(merged$Color.Morph, merged$Dom)
model <- multinom(ColDom~newDepth+Reef.ID, merged)
means <- lsmeans(model, specs = "Reef.ID")
means
pp <- fitted(model)
newdat <- data.frame(Reef.ID = levels(merged$Reef.ID),
newDepth = mean(merged$newDepth, na.rm=T))
pred <- predict(model, newdata = newdat, "probs")
new <- data.frame(Reef.ID=as.character(newdat[,1]), pred)
XY4 <- merge(XY3, new, by="Reef.ID", all=T)
When considering the effect of bay area on the interaction of color morph and dominant symbiont, the proportion of brown colonies dominated by D increases as you move from the north to the south of the bay. The proportion increases almost 6x, yet the small number of colonies makes this non-compelling.
Type=table(merged$ColDom, merged$Bay.Area)
prop.table(Type, margin = 2)
##
## Central Northern Southern
## Brown.C 0.48076923 0.43589744 0.42574257
## Orange.C 0.11057692 0.23589744 0.16501650
## Brown.D 0.04807692 0.00000000 0.05280528
## Orange.D 0.36057692 0.32820513 0.35643564
chisq.test(Type)
##
## Pearson's Chi-squared test
##
## data: Type
## X-squared = 20.668, df = 6, p-value = 0.002104
par(oma=c(3,3,0,0))
PlotOnStaticMap(KBMap, XY4$Latitude, XY4$Longitude)
axis(1, at = LatLon2XY.centered(KBMap, NA, c(-157.85, -157.81, -157.77))$newX, tcl=0.5, line = 0.5, col = "ghostwhite", col.ticks = "black", lwd = 1, outer = TRUE, labels = c("157.85°W", "157.81°W", "157.77°W"), padj = -2.5, cex.axis = 0.75)
axis(2, at = LatLon2XY.centered(KBMap, c(21.42, 21.46, 21.50), NA)$newY, tcl=0.5, line = 0.5, col = "ghostwhite", col.ticks = "black", lwd = 1, outer = TRUE, labels = c("21.42°N", "21.46°N", "21.50°N"), padj = 0.5, hadj = 0.60, las = 1, cex.axis = 0.75)
XY4 <- merge(XY3, new, by="Reef.ID", all=T)
XY4[XY4 == 0.000] <- 0.0000000001
rownames(XY4) <- XY4$Reef.ID
XY4 <- XY4[, -1]
XY4 <- na.omit(XY4)
apply(XY4, MARGIN=1, FUN=function(reef) {
floating.pie(xpos = reef["X"], ypos = reef["Y"],
x=c(reef["Brown.C.y"], reef["Orange.C.y"], reef["Brown.D.y"],
reef["Orange.D.y"]), radius = 7,
col = c("royalblue3", "cornflowerblue", "red", "rosybrown2"))
})
legend("bottomleft", legend=c("Brown-C", "Orange-C", "Brown-D", "Orange-D"), fill = c("royalblue3", "cornflowerblue", "red", "rosybrown2"))
par(new=T, mar=c(14,21,0,0))
HI <- readOGR("coast_n83.shp", "coast_n83")
HI <- spTransform(HI, CRS("+proj=longlat +datum=NAD83"))
plot(HI, xlim=c(-158.3, -157.6), ylim=c(21.35, 21.6), lwd=0.4, col="gray", bg="white")
rect(-157.87, 21.41, -157.75, 21.52)
box()
Adjusted values of Dominant Symbiont and Color Morph adjusted for the influence of depth.